928872900 has 144 divisors (see below), whose sum is σ = 3089385600. Its totient is φ = 239137920.

The previous prime is 928872887. The next prime is 928872913. The reversal of 928872900 is 9278829.

It is an interprime number because it is at equal distance from previous prime (928872887) and next prime (928872913).

It is a super-3 number, since 3×928872900³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72369 + ... + 84231.

Almost surely, 2^928872900 is an apocalyptic number.

928872900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928872900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544692800).

928872900 is an abundant number, since it is smaller than the sum of its proper divisors (2160512700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

928872900 is a wasteful number, since it uses less digits than its factorization.

928872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11915 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 928872900 is about 30477.4162290703. The cubic root of 928872900 is about 975.7055248513.

The spelling of 928872900 in words is "nine hundred twenty-eight million, eight hundred seventy-two thousand, nine hundred".